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Finding the Fourth Proportional to 1,490.34, 2,235.62 and 394.67

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Solution

The fourth proportional to 1,490.34, 2,235.62 and 394.67 is: 592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.34 : 2,235.62 = 394.67 : x
  2. Step 2: Convert to fraction form
    1,490.34/2,235.62 = 394.67/x
  3. Step 3: Cross multiply
    1,490.34x = 2,235.62 × 394.67
  4. Step 4: Simplify right side
    1,490.34x = 882,338.72
  5. Step 5: Solve for x
    x = 882,338.72/1,490.34
  6. Step 6: Final answer
    x = 592.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.